Plotting all the magnet and solenoid wire configurations

To show you what effect all the variations of wiring and magnetic poles can have, we have drawn all of them out for you below:

Moving the north pole of a magnet towards a clockwise solenoid

Moving the north pole of a magnet away from a clockwise solenoid

Moving the north pole of a magnet towards an anticlockwise solenoid

Moving the north pole of a magnet away from an anticlockwise solenoid

With the magnet the other way around, we get:

Moving the south pole of a magnet towards a clockwise solenoid

Moving the south pole of a magnet away from a clockwise solenoid

Moving the south pole of a magnet towards an anticlockwise solenoid

Moving the south pole of a magnet away from an anticlockwise solenoid